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Finding the Fourth Proportional to 12,472.68, 18,723.60 and 8,108.40

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Solution

The fourth proportional to 12,472.68, 18,723.60 and 8,108.40 is: 12,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.68 : 18,723.60 = 8,108.40 : x
  2. Step 2: Convert to fraction form
    12,472.68/18,723.60 = 8,108.40/x
  3. Step 3: Cross multiply
    12,472.68x = 18,723.60 × 8,108.40
  4. Step 4: Simplify right side
    12,472.68x = 151,818,438.24
  5. Step 5: Solve for x
    x = 151,818,438.24/12,472.68
  6. Step 6: Final answer
    x = 12,172.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.